What is 1/18 as a decimal?
Understand the Problem
The question is asking for the decimal equivalent of the fraction 1/18. To solve this, we will divide 1 by 18.
Answer
The decimal equivalent of \( \frac{1}{18} \) is \( 0.05\overline{5} \).
Answer for screen readers
The decimal equivalent of the fraction ( \frac{1}{18} ) is ( 0.05\overline{5} ).
Steps to Solve
- Set up the division
We begin by setting up the division of 1 by 18.
$$ 1 \div 18 $$
- Perform the division
Since 1 is less than 18, we need to add a decimal point and a zero to perform the division. This gives us 10.
$$ 10 \div 18 $$
- Calculate the first decimal place
18 goes into 10 zero times. We write 0 as the first digit after the decimal, and then we add another zero to make it 100.
- Calculate how many times 18 fits into 100
Now, we divide 100 by 18.
$$ 18 \times 5 = 90 $$
This gives us a quotient of 5, and we write this after the decimal point.
$$ 0.05 $$
- Find the remainder and continue
Subtract 90 from 100 to find the remainder:
$$ 100 - 90 = 10 $$
Now, bring down another zero to make it 100 again.
- Repeat the division process
Repeat the process. As calculated above, this also results in 5 again, leading to the decimal continuing:
$$ 0.055555... $$
- Conclude the decimal representation
Since we see that the sequence "5" repeats indefinitely, we can represent this as:
$$ 0.05\overline{5} $$
The decimal equivalent of the fraction ( \frac{1}{18} ) is ( 0.05\overline{5} ).
More Information
The result ( 0.05\overline{5} ) means that the digit 5 repeats infinitely. This is a common occurrence when converting fractions into decimals, especially with fractions that do not divide evenly.
Tips
- A common mistake is stopping the division too early and writing ( 0.05 ) without realizing that the 5 continues indefinitely.
- Another mistake is forgetting to add the decimal point and additional zeros when the numerator is less than the denominator.
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